Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case

Dariusz Buraczewski; Konrad Kolesko

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Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case

机译：无漂移情况下，随机行走在同质树的仿射群上

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摘要

The affine group of a homogeneous tree is the group of all its isometries fixing an end of its boundary. We consider a random walk with law μ on this group and the associated random processes on the tree and its boundary. In the drift-free case there exists on the boundary of the tree a unique μ-invariant Radon measure. In this paper we describe its behaviour at infinity.

机译：均质树的仿射组是固定其边界末端的所有其等距的组。我们考虑在该组上具有律μ的随机游动，并在树及其边界上考虑相关的随机过程。在无漂移的情况下，树的边界上存在唯一的μ不变Radon度量。在本文中，我们描述了其在无限远处的行为。

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来源
《Journal of Theoretical Probability》 |2012年第1期|p.189-204|共16页
作者
Dariusz Buraczewski; Konrad Kolesko;
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作者单位

Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland;

Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland;

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原文格式 PDF
正文语种 eng
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关键词
Random walk; Affine group; Homogeneous tree; Invariant measure; 60B15;

机译：随机游走仿射群同质树不变测度60B15;

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1. Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case [J] . Buraczewski D., Kolesko K. Journal of theoretical probability . 2012,第1期

机译：在无漂移情况下，随机行走在同质树的仿射组上
2. Large deviations for radial random walks on homogeneous trees [J] . Kanji Ichihara Nagoya Mathematical Journal . 2007,第3期

机译：均匀树上径向随机游走的大偏差
3. Anisotropic branching random walks on homogeneous trees [J] . Hueter I., Lalley SP. Probability Theory and Related Fields . 2000,第1期

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4. Random walks on polytopes and an affine interior point method for linear programming [C] . Ravi Kannan, Hariharan Narayanan Annual ACM symposium on Theory of computing;ACM symposium on Theory of computing . 2009

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Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case

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